A New High-Order Stable Numerical Method for Matrix Inversion

A New High-Order Stable Numerical Method for Matrix Inversion

A stable numerical method is proposed for matrix inversion. The new method is accompanied by theoretical proof to illustrate twelfth-order convergence. A discussion of how to achieve the convergence using an appropriate initial value is presented. The application of the new scheme for finding Moore-...

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Veröffentlicht in:TheScientificWorld 2014-01, Vol.2014 (2014), p.1-10
Hauptverfasser: Haghani, F. Khaksar, Soleymani, Fazlollah
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Approximation
Convergence (Mathematics)
Iterative methods
Mathematical Concepts
Mathematical research
Matrices
Methods
Numerical analysis
Sparsity
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Zusammenfassung:A stable numerical method is proposed for matrix inversion. The new method is accompanied by theoretical proof to illustrate twelfth-order convergence. A discussion of how to achieve the convergence using an appropriate initial value is presented. The application of the new scheme for finding Moore-Penrose inverse will also be pointed out analytically. The efficiency of the contributed iterative method is clarified on solving some numerical examples.
ISSN:2356-6140
1537-744X
1537-744X
DOI:10.1155/2014/830564